Question

the graph below represents the result of a survey in which a number of students reported how many letters were in their last names. name length what was the median name length? answer attempt 2 out of 2 letters

Explanation:

Step1: Count data - points

There are 2 + 2+1 + 4+1 + 2=12 data - points.

Step2: Determine median position

Since \(n = 12\) (an even number), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered data - points. \(\frac{n}{2}=\frac{12}{2}=6\) and \(\frac{n}{2}+1 = 7\).

Step3: Order data and find median

Ordering the data by the number of letters: 4, 4, 6, 6, 7, 8, 8, 8, 8, 9, 10, 10. The 6th value is 8 and the 7th value is 8. The median is \(\frac{8 + 8}{2}=8\).

Answer:

8